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Ground State Energy of the Truncated Anderson Hamiltonian
Author(s) -
Rudra P.
Publication year - 1975
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220700129
Subject(s) - ground state , hamiltonian (control theory) , dimensionless quantity , electron , physics , conduction band , quantum mechanics , atomic physics , anderson impurity model , condensed matter physics , mathematical physics , mathematics , mathematical optimization
The ground state energy of the Anderson Hamiltonian for infinite dd correlation energy is calculated using the method of thermodynamic Green's functions. The quantum mechanical ground state energy has a term proportional to exp (−α · e d / rv 2 ) for rv 2 ⪅ 1.5 where e d , r , v denote the energy of the d‐electron, the density of state and strength of interaction between the d‐electron and the conduction band electrons, all expressed in dimensionless units. The value of α remains almost constant over a wide range of the physical parameter rv 2 .